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Finding the Third Proportional to 47,789 and 103,886

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Solution

The third proportional to 47,789 and 103,886 is: 225,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,789 : 103,886 = 103,886 : x
  2. Step 2: Convert to fraction form
    47,789/103,886 = 103,886/x
  3. Step 3: Cross multiply
    47,789x = 103,886 × 103,886
  4. Step 4: Simplify right side
    47,789x = 10,792,300,996
  5. Step 5: Solve for x
    x = 10,792,300,996/47,789
  6. Step 6: Final answer
    x = 225,832.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.